Question

Find the perimeter of a rectangle with sides 3x + 6 and -2x -8​

Answer 1

2x - 4

Explanation:

2(3x + 6) = 6x + 12

2(-2x - 8) = -4x -16

6x + 12 - 4x - 16 = 2x - 4

Answer 2

The perimeter of a rectangle with sides 3x + 6 and -2x - 8​ will be:

`P = 2x - 4`

Explanation:

We know that the perimeter of a rectangle of length 'l' and width 'w' is given by the formula

• P = 2(length + width)

Given the sides of a rectangle

• 3x + 6

• -2x - 8​

As the opposite sides of a rectangle are congruent.

Therefore, we conclude that the Perimeter of a rectangle can be determined using the formula

`\:P\:=\:2\left(3x\:+\:6\:+\:\left(-2x\:-\:8\right)\right)`

`=2\left(3x+6-2x-8\right)`

`=2\left(x-2\right)`

`=2x-4`

Therefore, the perimeter of a rectangle with sides 3x + 6 and -2x - 8​ will be:

`P = 2x - 4`